118933920 has 576 divisors, whose sum is σ = 528353280. Its totient is φ = 24634368.

The previous prime is 118933909. The next prime is 118933951. The reversal of 118933920 is 29339811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5171029 + ... + 5171051.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^118933920 is an apocalyptic number.

118933920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

118933920 is an abundant number, since it is smaller than the sum of its proper divisors (409419360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

118933920 is a wasteful number, since it uses less digits than its factorization.

118933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 118933920 is about 10905.6829222200. The cubic root of 118933920 is about 491.7774126986. Note that the first 3 decimals are identical.

The spelling of 118933920 in words is "one hundred eighteen million, nine hundred thirty-three thousand, nine hundred twenty".